A discrete approach to monotonicity of zeros of orthogonal polynomials
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- by Mourad E. H. Ismail and Martin E. Muldoon PDF
- Trans. Amer. Math. Soc. 323 (1991), 65-78 Request permission
Abstract:
We study the monotonicity with respect to a parameter of zeros of orthogonal polynomials. Our method uses the tridiagonal (Jacobi) matrices arising from the three-term recurrence relation for the polynomials. We obtain new results on monotonicity of zeros of associated Laguerre, Al-Salam-Carlitz, Meixner and Pollaczek polynomials. We also derive inequalities for the zeros of the Al-Salam-Carlitz and Meixner polynomials.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 323 (1991), 65-78
- MSC: Primary 33C50; Secondary 15A42
- DOI: https://doi.org/10.1090/S0002-9947-1991-1014251-8
- MathSciNet review: 1014251